Cédric Villani
Cédric Villani publishes mostly in Applied Mathematics, Mathematical Physics and Geometry and Topology, on topics such as Geometric Analysis and Curvature Flows, Gas Dynamics and Kinetic Theory and Nonlinear Partial Differential Equations.
- World rank
- #32,280 of 1,633,909 ranked researchers
- Rank in France
- #1,797 of 96,116
- Works
- 50
- Citations
- 475
- Citations per work
- 9.5
What does Cédric Villani research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Applied Mathematics36% of their works
- 2Mathematical Physics6% of their works
- 3Geometry and Topology5% of their works
- 4Sociology and Political Science5% of their works
- 5Statistical and Nonlinear Physics5% of their works
- 6General Health Professions5% of their works
Research topics
- Geometric Analysis and Curvature Flows
- Gas Dynamics and Kinetic Theory
- Nonlinear Partial Differential Equations
- Point processes and geometric inequalities
- Cultural Insights and Digital Impacts
- Advanced Thermodynamics and Statistical Mechanics
- Geometry and complex manifolds
- Advanced Mathematical Physics Problems
Which keywords describe Cédric Villani's research?
The keywords of their largest research topics: Optimal Transport, Ricci Curvature, Boltzmann Equation, Fractional Laplacian, Kinetic Theory, Point Processes, Sobolev Spaces and Spatstat.
- Stability
- Kähler Metrics
- Stochastic Thermodynamics
- Fluctuation Theorems
- Spatstat
- Point Processes
- Fractional Laplacian
- Ricci Curvature
- Optimal Transport
- Boltzmann Equation
- Kinetic Theory
- Sobolev Spaces
- Digital Communication
- Information Studies
- Global Well-Posedness
- Nonlinear Schrödinger Equation
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 16 words, with their numbers
- Optimal Transport111 topic
- Ricci Curvature111 topic
- Boltzmann Equation51 topic
- Fractional Laplacian51 topic
- Kinetic Theory51 topic
- Point Processes51 topic
- Sobolev Spaces51 topic
- Spatstat51 topic
- Digital Communication31 topic
- Fluctuation Theorems31 topic
- Information Studies31 topic
- Stochastic Thermodynamics31 topic
- Global Well-Posedness21 topic
- Kähler Metrics21 topic
- Nonlinear Schrödinger Equation21 topic
- Stability21 topic
Where does Cédric Villani work?
Cédric Villani's main affiliation in the publication record is École Normale Supérieure de Lyon, France.
How many publications and citations does Cédric Villani have?
Science Explorer counts 50 works and 475 citations for Cédric Villani, ranking #32,280 of 1,633,909 researchers worldwide on the composite score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
Papers, co-authors, who cited this work and researchers on the nearest topics are in the interactive view on the map. Is this your page? Request a correction or removal.